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# If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1

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Math Expert
Joined: 02 Sep 2009
Posts: 50585
If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1  [#permalink]

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05 Jul 2018, 04:50
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Difficulty:

35% (medium)

Question Stats:

66% (01:18) correct 34% (00:48) wrong based on 39 sessions

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If x^2 – y = w, what is the value of x?

(1) w + y = 4
(2) y = 1

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Joined: 13 Feb 2018
Posts: 135
If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1  [#permalink]

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05 Jul 2018, 05:02
the concept to guide:
$$x^2$$=$$+-x$$
Intern
Joined: 05 Jul 2018
Posts: 1
Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1  [#permalink]

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05 Jul 2018, 05:09
w+y=4
X^2=w+y
x^2=4
X=√4
X=2
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Joined: 19 Nov 2017
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Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
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Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1  [#permalink]

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05 Jul 2018, 05:16
anushat wrote:
w+y=4
X^2=w+y
x^2=4
X=√4
X=2

X can anlso be equal to -2

as $$x^2 = 4 = 2^2 = (-2)^2$$

E should be the correct answer.
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Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1  [#permalink]

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05 Jul 2018, 07:47
Bunuel wrote:
If x^2 – y = w, what is the value of x?

(1) w + y = 4
(2) y = 1

Given$$x^2=w+y$$

Question stem: x=?

St1:- w+y=4
So, $$x^2=4$$ Or, x=+2 or -2
Since x has more than one value, hence insufficient.

St2:-y = 1, no information on w , hence the value of x can't be determined.
Insufficient.

(1)+(2), same scenario, two values of x. Hence insufficient.

Ans. E
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Joined: 04 Jan 2015
Posts: 2192
Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1  [#permalink]

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05 Jul 2018, 23:45
1

Solution

Given:
• $$x^2 – y = w$$

To find:
• The value of x

Analysing Statement 1
“w + y = 4”
• $$x^2 – y = w$$ => $$x^2 = w + y$$
o Implies, $$x^2 = 4$$
o Thus, x is equal to ±2
• However, we cannot find a unique value of x

Therefore, Statement (1) ALONE is not sufficient to answer this question

Analysing Statement 2
“y = 1”
• Substituting this in the equation, $$x^2 – y = w$$
o $$x^2 = w + 1$$
• We cannot find the value of x, as we don’t have any information about w

Therefore, Statement (2) ALONE is not sufficient to answer this question

Combining Both Statements
• Combining both the statements, we get
o y = 1, w = 3 and x = ±2
• However, we cannot find a unique value of x

Thus, Statement (1) and (2) TOGETHER are NOT sufficient

Hence, the correct answer is option E.

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Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1 &nbs [#permalink] 05 Jul 2018, 23:45
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